Analysis of temperature variation in hydromagnetized flow in the presence of Joule heating, viscous dissipation, and thermal radiation

Abstract

By incorporating joule heating, viscous dissipation, thermal radiation, variable temperature, we analyse an MHD boundary layer flow over  a flat plate, considering the effects of radiation, Joule heating, and viscous dissipation. An appropriate similarity transformation is  applied to convert the governing nonlinear coupled PDEs into ODEs, which are solved using the shooting method combined with six  order Runge Kutta method. The effect of embedded governing flow parameter such as Prandle number, Eckert number, magnetic parameter on the velocity and temperature profiles are presented graphically and discussed in details. Additionally, the heat transfer rate  is computed for various parameter values and presented in tabular form. The results indicate that an increase in the Eckert number  leads to a rise in the temperature profile, whereas a higher Prandtl number results in a decrease in the temperature profile. The present  results obtained are validated by comparing with similar existing results in literature and there is excellent agreement.